4104

4104 is a natural number that follows 4103 and precedes 4105. It is even and composite, with prime factorization 2^3 × 3^3 × 19, giving it 32 divisors.

The sum of all divisors of 4104 is 12000, which means the sum of its proper divisors is 12000 − 4104 = 7896. Since 7896 > 4104, 4104 is an abundant number, with a abundance ratio of about 1.92. It is also a Harshad (Niven) number because it is divisible by the sum of its decimal digits: 4 + 1 + 0 + 4 = 9, and 4104 ÷ 9 = 456.

In common numeral systems, 4104 is 0x1008 in hexadecimal and 1000000001000 in binary, reflecting its binary composition as 2^12 + 2^3.

4104 is not representable as a sum of two squares, since a prime factor congruent to 3 modulo 4 (such as 3) occurs with an odd exponent in its factorization. It is also a practical number, meaning every smaller positive integer can be expressed as a sum of distinct divisors of 4104.

As a number, 4104 serves as an example in discussions of factorization, divisor functions, and numeral bases. Its combination of small prime factors and relatively large composite structure makes it a point of reference in explorations of abundant and practical numbers.